51468033613680 has 480 divisors, whose sum is σ = 184864255430400. Its totient is φ = 12787430842368.

The previous prime is 51468033613613. The next prime is 51468033613709. The reversal of 51468033613680 is 8631633086415.

51468033613680 is a `hidden beast` number, since 5 + 14 + 6 + 8 + 0 + 3 + 3 + 613 + 6 + 8 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 590328331 + ... + 590415509.

It is an arithmetic number, because the mean of its divisors is an integer number (385133865480).

Almost surely, 2^{51468033613680} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 51468033613680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92432127715200).

51468033613680 is an abundant number, since it is smaller than the sum of its proper divisors (133396221816720).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

51468033613680 is a wasteful number, since it uses less digits than its factorization.

51468033613680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87701 (or 87692 counting only the distinct ones).

The product of its (nonzero) digits is 7464960, while the sum is 54.

The spelling of 51468033613680 in words is "fifty-one trillion, four hundred sixty-eight billion, thirty-three million, six hundred thirteen thousand, six hundred eighty".